What is the Greatest Common Factor of 11765 and 11775?

Greatest common factor (GCF) of 11765 and 11775 is 5.

GCF(11765,11775) = 5

We will now calculate the prime factors of 11765 and 11775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11765 and 11775.

How to find the GCF of 11765 and 11775?

We will first find the prime factorization of 11765 and 11775. After we will calculate the factors of 11765 and 11775 and find the biggest common factor number .

Step-1: Prime Factorization of 11765

Prime factors of 11765 are 5, 13, 181. Prime factorization of 11765 in exponential form is:

11765 = 5¹ × 13¹ × 181¹

Step-2: Prime Factorization of 11775

Prime factors of 11775 are 3, 5, 157. Prime factorization of 11775 in exponential form is:

11775 = 3¹ × 5² × 157¹

Step-3: Factors of 11765

List of positive integer factors of 11765 that divides 11765 without a remainder.

1, 5, 13, 65, 181, 905, 2353

Step-4: Factors of 11775

List of positive integer factors of 11775 that divides 11765 without a remainder.

1, 3, 5, 15, 25, 75, 157, 471, 785, 2355, 3925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11765 and 11775. The biggest common factor number is the GCF number.
So the greatest common factor 11765 and 11775 is 5.

Also check out the Least Common Multiple of 11765 and 11775